2023/05/12 by Julien, Cyril, Meylan, Francine · 1 citation
#Complex Variables (math.CV) #FOS: Mathematics
paper · doi:10.48550/arxiv.2305.07757
In this paper, motivated by the work of Kim and Kolar for the case of pseudoconvex models which are sums of squares of polynomials, we study the Lie algebra of real-analytic infinitesimal CR automorphisms of a model hypersurface M0 given by M0= \(z,w) ∈ \mathbb C3 × \mathbb C | \Im w= P Q + Q P + R R \, where P, Q and R are homogeneous polynomials. In particular, we classify M0 with respect to the description of its nilpotent rotations when P, Q and R are monomials. We also give an example of a model M0 for which the real dimension of its generalized (exotic) rotations is 3.